Hi @Barrett Richie and congrats on your first purchase! Very exciting! The tried and true method we've always used is the "For Rent" sign and phone number. If you haven't already done so, setup your Google voice number so messages can go into your inbox in case you can't pick it. There are some blogs on BP about this which you can look into more.
Also, take lots of clean, clear pictures of the property so you can post them on Craigslist (which is free and will need to refresh every week so it can stay toward the top) and Postlets. Postlets is free and will syndicate your ad to other real estate venues like zillow, trulia, social media and more.
Honestly, this should be all you need if your property is clean, functional and priced at or below market. If you don't get any calls or very little the first week, your price is too high. Drive around and call other for rent signs if any to get a feel of the price or ask your agent to get recent rent comps within your area.
We don't do Section 8 but there should be a local housing authority that processes section 8 application/checks, etc. Good luck and let us know when you've rented it out.